This implies a different definition for the line of nodes in the geometrical construction.
2.
The line of nodes, labelled N and shown in green, is the intermediate Body X-axis around which the second rotation occurs.
3.
There is a similar construction for Y _ 3, projecting it first over the plane defined by the axis " z " and the line of nodes.
4.
The most external matrix rotates the other two, leaving the second rotation matrix over the line of nodes, and the third one in a frame comoving with the body.
5.
These angles are normally taken as one in the external reference frame ( elevation or inclination respect the horizontal plane, which is equivalent to the line of nodes for this purpose.
6.
For the above-listed sequence of rotations, the line of nodes " N " can be simply defined as the orientation of " X " after the first elemental rotation.
7.
The orbital planes cross each other at a line of nodes resulting in at least two, and up to five, solar eclipses occurring each year; no more than two of which can be total eclipses.
8.
The angle to define the direction of the roll axis is normally named " longitude of the revolution axis " or " longitude of the line of nodes " instead of " heading ", which makes no sense for a planet.
9.
All regular polytopes, represented by Schl�fli symbol, can have their fundamental domains represented by a set of " n " mirrors with a related Coxeter Dynkin diagram of a line of nodes and branches labeled by with the first node ringed.
10.
They constitute a "'mixed axes of rotation "'system, where the first angle moves the line of nodes around the external axis " z ", the second rotates around the line of nodes and the third one is an intrinsic rotation around an axis fixed in the body that moves.
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